| public static InRadius ( EHoneycomb honeycomb ) : double | ||
| honeycomb | EHoneycomb | |
| Résultat | double | |
public static Vector3D FaceCenterSpherical(int p, int q, int r)
{
// Get a {q,p} tiling on the z=0 plane.
Segment[] baseTileSegments = BaseTileSegments(q, p);
// This will be unit length.
Vector3D pFaceDirection = H3Models.UHSToBall(baseTileSegments.First().P1);
// In-radius is in conformal model
double inRadius = Spherical2D.s2eNorm(Honeycomb.InRadius(p, q, r));
return(pFaceDirection * inRadius);
}
/// <summary>
/// Mirrors for Spherical geometry, in the ball model.
/// </summary>
public static Sphere[] MirrorsSpherical(int p, int q, int r)
{
// Get a {q,p} tiling on the z=0 plane.
Segment[] baseTileSegments = BaseTileSegments(q, p);
// This will be unit length.
Vector3D pFaceDirection = H3Models.UHSToBall(baseTileSegments.First().P1);
// In-radius is in conformal model
double inRadius = Spherical2D.s2eNorm(Honeycomb.InRadius(p, q, r));
double centerOfSphereNE = (1 - inRadius) / (1 + inRadius);
Vector3D center;
double radius;
H3Models.Ball.DupinCyclideSphere(-pFaceDirection * centerOfSphereNE, 1.0 /*geodesic circle*/, Geometry.Spherical, out center, out radius);
Sphere cellBoundary = new Sphere()
{
Center = center, Radius = radius, Invert = true
};
Sphere[] interior = InteriorMirrors(p, q);
interior = interior.Select(s => H3Models.UHSToBall(s)).ToArray();
Sphere[] surfaces = new Sphere[] { cellBoundary, interior[0], interior[1], interior[2] };
// Apply rotations.
bool applyRotations = false;
if (applyRotations)
{
double rotation = Math.PI / 2;
foreach (Sphere s in surfaces)
{
RotateSphere(s, rotation);
}
}
return(surfaces);
}